MinT - Information on Result #814216

Information on Result #814216

Linear OOA(3⁴³, 26, F₃, 2, 25) (dual of [(26, 2), 9, 26]-NRT-code), using OOA 2-folding based on linear OA(3⁴³, 52, F₃, 25) (dual of [52, 9, 26]-code), using

(u,Â u+v)-construction [i] based on
1. linear OA(3¹⁸, 26, F₃, 12) (dual of [26, 8, 13]-code), using
  - 2 times truncation [i] based on linear OA(3²⁰, 28, F₃, 14) (dual of [28, 8, 15]-code), using
    - contraction [i] based on linear OA(3⁴⁸, 56, F₃, 29) (dual of [56, 8, 30]-code), using the BCH-code C(I) with length 56Â | 3⁶âˆ’1, defining interval IÂ =Â {0,1,…,28}, and designed minimum distance dÂ â‰¥Â |I|+1Â =Â 30 [i]
2. linear OA(3²⁵, 26, F₃, 25) (dual of [26, 1, 26]-code or 26-arc in PG(24,3)), using
  - dual of repetition code with length 26 [i]

Mode: Constructive and linear.

Optimality

Show details for fixed k and m, n and k, k and s, k and t, n and m, m and s, m and t, n and s, n and t.

Other Results with Identical Parameters

None.

Depending Results

None.